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Finding the Fourth Proportional to 22,720.66, 34,086.49 and 7,138.28

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Solution

The fourth proportional to 22,720.66, 34,086.49 and 7,138.28 is: 10,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.66 : 34,086.49 = 7,138.28 : x
  2. Step 2: Convert to fraction form
    22,720.66/34,086.49 = 7,138.28/x
  3. Step 3: Cross multiply
    22,720.66x = 34,086.49 × 7,138.28
  4. Step 4: Simplify right side
    22,720.66x = 243,318,977.21
  5. Step 5: Solve for x
    x = 243,318,977.21/22,720.66
  6. Step 6: Final answer
    x = 10,709.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.